11787515428864 has 256 divisors, whose sum is σ = 27567330255360. Its totient is φ = 4935450624000.

The previous prime is 11787515428861. The next prime is 11787515428873. The reversal of 11787515428864 is 46882451578711.

It is a tau number, because it is divible by the number of its divisors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 11787515428864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11787515428861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3051386997 + ... + 3051390859.

It is an arithmetic number, because the mean of its divisors is an integer number (107684883810).

Almost surely, 2^{11787515428864} is an apocalyptic number.

11787515428864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11787515428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13783665127680).

11787515428864 is an abundant number, since it is smaller than the sum of its proper divisors (15779814826496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11787515428864 is an frugal number, since it uses more digits than its factorization.

11787515428864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4204 (or 4176 counting only the distinct ones).

The product of its digits is 120422400, while the sum is 67.

The spelling of 11787515428864 in words is "eleven trillion, seven hundred eighty-seven billion, five hundred fifteen million, four hundred twenty-eight thousand, eight hundred sixty-four".